Arithmetic Questions and Answers

Q1 :

Which one of the following number is exactly divisible by 11 ?

A

315624

B

245642

C

415624

D

235641

Check Answer

Q2 :

The product of two numbers is forty five and their difference is four. The sum squares of the 2 numbers is

A

135

B

240

C

73

D

106

Check Answer

Q3 :

The value of expression

$1 div Biggl{ frac{1}{2} + frac{1}{3} + frac{1}{6} div bigg(frac{3}{4}-frac{1}{3}bigg) Biggr}$ is:

A

$frac{5}{12}$

B

$frac{1}{12}$

C

$frac{30}{37}$

D

1

Check Answer

Right Answer: C

$frac{30}{37}$

Q4 :

Find the square root of 20.8849

A

.457

B

4.57

C

45.7

D

457

Check Answer

Q5 :

Find the value of $sqrt{frac{36.1}{102.4}}$

A

$frac{19}{34}$

B

$frac{19}{31}$

C

$frac{6.1}{34}$

D

$frac{19}{32}$

Check Answer

Right Answer: D

$frac{19}{32}$

Q6 :

The decimal number $0.overline{32}$ is equal to the rational number

A

$frac{32}{100}$

B

$frac{32}{99}$

C

$frac{30}{100}$

D

$frac{31}{99}$

Check Answer

Right Answer: B

$frac{32}{99}$

Q7 :

Which one of the following measures of central tendency gives greater importance to smaller and lesser importance to bigger items of a series?

A

Arithmetic mean

B

Geometric mean

C

Median

D

Mode

Check Answer

Q8 :

The mean of 5 observations $x, x+ 2, x + 4, x + 6 text{ and } x + 8$ is 11. Then the mean of last 3 observations is

A

11

B

13

C

15

D

17

Check Answer

Q9 :

The arithmetic mean of $n$ number is $overline{x}$ . The sum of the first $(n - 1)$ numbers is $k$ . The $n$ th number is

A

$n overline{x} - 2k$

B

$n overline{x} - k$

C

$n overline{x} + k$

D

$n overline{x} + 2k$

Check Answer

Right Answer: B

$n overline{x} - k$

Q10 :

An estate's three-fourths share amounts to ₹90,000. What is the value of two-thirds of the entire estate?

A

Rs. 60,000

B

Rs. 65,000

C

Rs. 70,000

D

Rs. 80,000

Check Answer

Q11 :

Let $n[text{X}]$ denote the number of elements in the set $text{X}$ . If for two sets A and B, $n$ [A] = 12, $n$ [B] = 30, $n$ [A $cap$ B] = 25, then $n$ [A $cup$ B] is equal to

A

25

B

19

C

17

D

15

Check Answer

Q12 :

The value of $frac{(.05 times .05 times .05) + (.04 times .04 times .04)}{(.05 times .05) - (.05 times .04) + (.04 times .04)}$ is

A

0.0009

B

0.01

C

0.09

D

0.41

Check Answer

Q13 :

If A and B are two sets, then $text{A} cap (text{A} cup text{B})$ is equal to

A

B

C

$phi$

D

A $cap$ B

Check Answer

Right Answer: C

$phi$

Q14 :

Let N be the set of all natural numbers, E be the universal set, $phi$ be the null set and B be the unit set containing 0, i.e. B = {0}. If A is the subset of every set X, then A is equal to

A

N

B

C

$phi$

D

E

Check Answer

Right Answer: C

$phi$

Q15 :

If $n$ is any whole number, $n^2 (n^2 - 1)$ is always divisible by:

A

12

B

24

C

36

D

9

Check Answer

Q16 :

Simplify: $sqrt{75} + sqrt{48} - sqrt{243}$

A

0

B

$2sqrt{3}$

C

$3sqrt{3}$

D

$4sqrt{3}$

Check Answer

Q17 :

Solve the following—
$sqrt{0.0625} + sqrt{0.250} = text{ ?}$

A

.005

B

0.5

C

5

D

None of the Above

Check Answer

Q18 :

Solve the following equation:

$8461 div 11.99 - 24.01 div frac{5}{10} = ?$

A

225

B

625

C

400

D

25

Check Answer

Q19 :

If in a grouped data median is 50 and each frequency is multiplied by 3, then the new median is—

A

300

B

150

C

50

D

None of the above

Check Answer

Q20 :

If $23 times 5 = 26$ and $13 times 8 = 19$ , then $39 times 7$ =

A

42

B

43

C

44

D

40

Check Answer

Q21 :

What is the value of $x$ for which $x, x + 1, x + 3$ are all prime numbers?

A

0

B

1

C

2

D

101

Check Answer

Q22 :

Which of the following statements about the number 222222 is correct?

A

It is divisible by 3 but not divisible by 7

B

It is divisible by 3 and 7 but not divisible by 11

C

It is divisible by 2 and 7 but not divisible by 11

D

It is divisible by 3, 7 and 11

Check Answer